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Finding the Fourth Proportional to 411,563.80, 620,430.42 and 384,130.61

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Solution

The fourth proportional to 411,563.80, 620,430.42 and 384,130.61 is: 579,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,563.80 : 620,430.42 = 384,130.61 : x
  2. Step 2: Convert to fraction form
    411,563.80/620,430.42 = 384,130.61/x
  3. Step 3: Cross multiply
    411,563.80x = 620,430.42 × 384,130.61
  4. Step 4: Simplify right side
    411,563.80x = 238,326,315,697.16
  5. Step 5: Solve for x
    x = 238,326,315,697.16/411,563.80
  6. Step 6: Final answer
    x = 579,075.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.